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Finding the Third Proportional to 10,191 and 24,545

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Solution

The third proportional to 10,191 and 24,545 is: 59,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191 : 24,545 = 24,545 : x
  2. Step 2: Convert to fraction form
    10,191/24,545 = 24,545/x
  3. Step 3: Cross multiply
    10,191x = 24,545 × 24,545
  4. Step 4: Simplify right side
    10,191x = 602,457,025
  5. Step 5: Solve for x
    x = 602,457,025/10,191
  6. Step 6: Final answer
    x = 59,116.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.